Should I fight for us or give him space?

My boyfriend broke up with me out of the blue a little over a month ago. He has a complicated family history (alcoholic father, etc.) and a fear of emotional intimacy. When we started getting close - 7 months in - he got scared, panicked, and bailed. Since then he's shown up outside my office building and done other small things that show me he is still in love with me. But he hasn't called or texted. (And I'm not sure he will until he realizes what he did and is 100% sure he made a mistake (it's just the type of person he is)). My question is this: what is the best thing I can do for someone with his fears? Do I give him space? Do I tell him I miss him? Do I text something friendly? I'd really love to get some insight from anyone who has these fears or has experience dealing with someone who does.

Welcome to PC, Bookish.
I don't really know what to say. I mean, I imagine it would be frustrating to have to keep someone else's feelings in consideration when they have (possibly?) hurt you by leaving. You haven't mentioned how you feel in all of this. Do you really want him in your life? How are you processing your own feelings? I suppose taking these things into account would form a part of how you react to the situation. Everyone is different. But in my opinion, since he's the one who bailed, I would leave it up to him to make the next move. After all, in my opinion, you don't really 'owe' him anything; he's the one who left. (Not meant as a judgement, simply an observation.)
I see that this was posted a month ago. What's been happening since then? Have you reached some kind of resolution?